# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_arithmetics_modeq(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_bool,h4s_arithmetics_modeq(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),file('i/f/arithmetic/MODEQ__SYM', ch4s_arithmetics_MODEQu_u_SYM)).
fof(16, axiom,![X15]:![X16]:((p(s(t_bool,X16))=>p(s(t_bool,X15)))=>((p(s(t_bool,X15))=>p(s(t_bool,X16)))=>s(t_bool,X16)=s(t_bool,X15))),file('i/f/arithmetic/MODEQ__SYM', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(33, axiom,![X3]:![X21]:![X22]:(p(s(t_bool,h4s_arithmetics_modeq(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X21))))<=>?[X23]:?[X24]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,X22)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,X21)))),file('i/f/arithmetic/MODEQ__SYM', ah4s_arithmetics_MODEQu_u_DEF)).
fof(37, axiom,![X2]:![X3]:p(s(t_bool,h4s_arithmetics_modeq(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X2)))),file('i/f/arithmetic/MODEQ__SYM', ah4s_arithmetics_MODEQu_u_REFL)).
# SZS output end CNFRefutation
